Question

What is the length of a string tied to a kite flying at a height of 100m and at an angle of elevation 30°?​

Answer 1

S O L U T I O N :

$\underline{\bf{Given\::}}$

• Angle of elevation = 30°
• Height of a flying kite = 100 m

$\underline{\bf{Explanation\::}}$

Firstly, attachment a figure according to the given question.

We have,

• Height of tower, (AB) = 100 m
• C be the point on the ground such that the angle of elevation of top A to AB is 30°

A/q

$\longrightarrow\tt{sin\:C = \dfrac{AB}{AC} }$

$\longrightarrow\tt{sin\:30\degree = \dfrac{AB}{AC} }$

$\longrightarrow\tt{\dfrac{1}{2} = \dfrac{100}{AC} }$

$\longrightarrow\tt{AC = 2 \times 100}$

$\longrightarrow\bf{AC = 200\:m}$

Thus,

The length of a string tied to a kite will be 200 m .